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A161845
a(n) =
A002808
(n)^
A141468
(n).
1
1, 6, 4096, 531441, 100000000, 5159780352, 289254654976, 129746337890625, 72057594037927936, 6746640616477458432, 655360000000000000000, 630880792396715529789561, 705429498686404044207947776, 96479729228174488169059713024
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OFFSET
1,2
COMMENTS
The n-th composite raised to the power m, where m = n-th nonprime.
LINKS
Table of n, a(n) for n=1..14.
EXAMPLE
a(1) = 4^0 = 1;
a(2) = 6^1 = 6;
a(3) = 8^4 = 4096;
a(4) = 9^6 = 531441;
a(5) = 10^8 = 100000000;
a(6) = 12^9 = 5159780352.
MAPLE
A002808
:= proc(n) option remember; local a; if n = 1 then 4; else for a from procname(n-1)+1 do if not isprime(a) then RETURN(a) : fi; od: fi; end:
A141468
:= proc(n) if n >= 3 then
A002808
(n-2) ; else n-1 ; fi; end:
A161845
:= proc(n)
A002808
(n)^
A141468
(n) ; end:
seq(
A161845
(n), n=1..20) ; #
R. J. Mathar
, Jun 23 2009
CROSSREFS
Cf.
A002808
,
A141468
.
Sequence in context:
A158663
A110106
A024087
*
A317485
A209310
A373237
Adjacent sequences:
A161842
A161843
A161844
*
A161846
A161847
A161848
KEYWORD
nonn
AUTHOR
Juri-Stepan Gerasimov
, Jun 20 2009
EXTENSIONS
a(4) corrected and extended by
R. J. Mathar
, Jun 23 2009
Edited by
Jon E. Schoenfield
, Feb 23 2019
STATUS
approved